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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （X-5000-1091.20）*0.03 = X-7207.9-1091.20 .
Question type: Equation
Solution:Original question:
| ( | X | − | 5000 | − | 5456 5 | ) | × | 3 100 | = | X | − | 72079 10 | − | 5456 5 |
| Left side of the equation = | X | × | 3 100 | − | 5000 | × | 3 100 | − | 5456 5 | × | 3 100 |
| = | X | × | 3 100 | − | 150 | − | 4092 125 |
| = | 3 100 | X | − | 22842 125 |
3 100 | X | − | 22842 125 | = | X | − | 72079 10 | − | 5456 5 |
| Right side of the equation = | X | − | 82991 10 |
3 100 | X | − | 22842 125 | = | X | − | 82991 10 |
Transposition :
3 100 | X | − | X | = | - | 82991 10 | + | 22842 125 |
Combine the items on the left of the equation:
| - | 97 100 | X | = | - | 82991 10 | + | 22842 125 |
Combine the items on the right of the equation:
| - | 97 100 | X | = | - | 2029091 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2029091 250 | = | 97 100 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
97 100 | X | = | 2029091 250 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2029091 250 | ÷ | 97 100 |
| = | 2029091 250 | × | 100 97 |
| = | 2029091 5 | × | 2 97 |
We obtained :
| X | = | 4058182 485 |
Convert the result to decimal form :
| X | = | 8367.385567 |